Royal lover infiltrating internal area (7)

I believe the answer is:

infanta

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'royal' is the definition.
(I've seen this before)

'lover infiltrating internal area' is the wordplay.
'lover' becomes 'fan' (synonyms).
'infiltrating' is an insertion indicator.
'internal' becomes 'int' (I am not sure about this - if you are sure you should believe this answer much more).
'area' becomes 'a' (maths abbreviation).
'fan' inserted into 'int' is 'infant'.
'infant'+'a'='INFANTA'

Can you help me to learn more?

(Other definitions for infanta that I've seen before include "Royal personage" , "Formerly, the daughter of a Spanish king" , "European royal" , "girl in foreign court" , "King of Spain's daughter" .)

I've seen this clue in The Times.

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